\(\frac{17}{30}\)
\(\frac{11}{30}\)
\(\frac{6}{30}\)
\(\frac{5}{30}\)
Correct answer is A
Pgrape or Pbanana = \(\frac{6}{30}\) + \(\frac{11}{30}\)
= \(\frac{17}{30}\)
2
3
4
6
Correct answer is A
Range : 10 - 2 = 8
Variance = \(\frac{\sum d^{2}}{n}\)
= \(\frac{60}{10}\)
= 6
8 - 6 = 2.
20
25
30
35
Correct answer is B
No explanation has been provided for this answer.
If \(y = x(x^4 + x + 1)\), evaluate \(\int \limits_{0} ^{1} y \mathrm d x\).
\(\frac{11}{12}\)
1
\(\frac{5}{6}\)
zero
Correct answer is B
\(y = x(x^{4} + x + 1) = x^{5} + x^{2} + x\)
\(\int \limits_{0} ^{1} (x^{5} + x^{2} + x) \mathrm d x = \frac{x^{6}}{6} + \frac{x^{3}}{3} + \frac{x^{2}}{2}\)
= \([\frac{x^{6}}{6} + \frac{x^{3}}{3} + \frac{x^{2}}{2}]_{0} ^{1}\)
= \(\frac{1}{6} + \frac{1}{3} + \frac{1}{2}\)
= \(1\)
Integrate \(\frac{1}{x}\) + cos x with respect to x
-\(\frac{1}{x^2}\) + sin x + k
x + sin x - k
x - sin x + k
-\(\frac{1}{x^2}\) - sin x + k
Correct answer is C
\(\int \frac{1}{x} + \cos x = ln x - \sin x + k\)